Respuesta :

When you expand (x+2)^6, you would get
[tex]x^6+12x^5+60x^4+160x^3+240x^2+192x+64[/tex].
The third term is [tex]60x^4[/tex], so your answer would be [tex]60x^4[/tex]

Answer:

         A. 60x^4

Step-by-step explanation:

 (x+2)^6=((x+2)^3)^2

              = (x³+2³+6x²+12x)^2

              = (x³+8+6x²+12x)^2

              = (x³+8)^2+(6x²+12x)^2+2(x³+8)(6x²+12x)

              = x^6+64+16x³+36x^4+144x²+144x³+2(6x^5+12x^4+48x²+96x)

              = x^6+12x^5+60x^4+16x³+240x²+192x+64

the third term of the expansion is 60x^4

hence, answer is A. 60x^4

Otras preguntas